dc.contributor.author
Gasull, Armengol
dc.contributor.author
Llorens, Mireia
dc.contributor.author
Mañosa Fernández, Víctor
dc.identifier
https://ddd.uab.cat/record/199367
dc.identifier
urn:10.1016/j.cnsns.2018.04.020
dc.identifier
urn:oai:ddd.uab.cat:199367
dc.identifier
urn:gsduab:4633
dc.identifier
urn:articleid:18787274v64p232
dc.identifier
urn:scopus_id:85046630966
dc.identifier
urn:wos_id:000434800900015
dc.identifier
urn:oai:egreta.uab.cat:publications/e3c3bf13-3cb6-4cd3-a657-f8e45243509c
dc.description.abstract
We prove the existence of 3-periodic orbits in a dynamical system associated to a Landen transformation previously studied by Boros, Chamberland and Moll, disproving a conjecture on the dynamics of this planar map introduced by the latter author. To this end we present a systematic methodology to determine and locate analytically isolated periodic points of algebraic maps. This approach can be useful to study other discrete dynamical systems with algebraic nature. Complementary results on the dynamics of the map associated with the Landen transformation are also presented.
dc.format
application/pdf
dc.relation
Ministerio de Economía y Competitividad MTM2016-77278-P
dc.relation
Ministerio de Economía y Competitividad DPI2016-77407-P
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-388
dc.relation
Communications in nonlinear science and numerical simulation ; Vol. 64 (Nov. 2018), p. 232-245
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Landen transformation
dc.subject
Periodic points
dc.subject
Poincaré-Miranda theorem
dc.title
Periodic points of a Landen transformation
